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Finding the Third Proportional to 107,786 and 234,224

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Solution

The third proportional to 107,786 and 234,224 is: 508,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,786 : 234,224 = 234,224 : x
  2. Step 2: Convert to fraction form
    107,786/234,224 = 234,224/x
  3. Step 3: Cross multiply
    107,786x = 234,224 × 234,224
  4. Step 4: Simplify right side
    107,786x = 54,860,882,176
  5. Step 5: Solve for x
    x = 54,860,882,176/107,786
  6. Step 6: Final answer
    x = 508,979.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.